Evaluate the given function (e²* + 4)y' = y is equal to. y(4 + e2x) А. 3x = e 4 C y(4 + e2x)® = e4 B.: C y(4+ e2*) С. = e4 C D. None of the Above

Q: 1. The y-intercept of the function y = 3(x + 19)2 – 27 is а. 334 b. -27 С. -8 d. 1056

A: We will find out the required value.

Q: 2(h+1)=6h-7

A:

Q: ty P(1, 5) 4 2 A(-1, 2) -4-2 0

A: centre→ (-1 , 2)radius→ 4

Q: Estimate f(-1.02, -0.97) given that f(−1, −1) = 3, fx(−1, -1) = −2 and fy(-1, -1) = −1.

A:

Q: Write y=2(0.5x-6)(6-24x) in the form y=k(x-r)(x-s) and give the values of k,r,s.

A: We have to factor out 0.5 and -24

Q: Differentiate. 5x - 9 +x3 3x +1 g(x) = gʻ(x) = D

A: Given  gx=5x-93x+1+x3 To do Differentiate gx=5x-93x+1+x3

Q: Approximate the value(s) of x that satisfies the equation lnx =x2 −1.

A: The given equation is: lnx=x2-1 To find the approximate value of x that satisfies the given…

Q: B. Solve: If f(x)= x2 + 2, if x 0, find: 1. f(-4) 2. f(3).

A:

Q: Find the point 2/3 of the way from (−6, 6, 5) to (−8, −8, −5). P=(??,?)

A: Here we have to find the point 2/3 of the way from (-6,6,5) to (-8,-8,-5).

Q: Sales of fine-cut cigarettes (in millions) in a country are given by y = - 14.898x2 + 356.467x +…

A:

Q: a. If y = 1000(2-0.1x ), find the value of y whenx = 10.b. Use graphical or numerical methods to…

A: If y = 1000(2-0.1x ), find the value of y whenx = 10.

Q: The equation M(x,y) = 73 +0.8x -0.9y gives the mileage (in mpg) of a new car as a function of tire…

A:

Q: For which values of x is Y1 = Y2?

A: A table with X, Y1,Y2

Q: Find the point on the line 2x + y = 7 that is closest to the point (−4, 2).

A: We use second derivative test to find out point where distance minimum

Q: Find the point on the line 3x + y = 5 that is closest to the point (−2, 1).

A: To Find the point on the line 3x + y = 5 that is closest to the point (−2, 1).

Q: P = C(1 + m) for m (business, value depreciation of equipment)

A:

Q: Find the value of x

A:

Q: Differentiate. 5x-9 .3 g(x) = 2x + 1 gʻ(x) = D

A:

Q: In AFGH, mZF = (3x – 15)°, m/G = (8x +8)°, and mZH = (2x + 18)°. %3D %3D What is the value of x?

A: In ∆FGH, m∠F=(3x-15)°, m∠G=(8x+8)° and m∠H=(2x+18)°

Q: If 5/x - 2/y = 1/6 and y = 3 , find the value of x

A: Given: 5/x - 2/y = 1/6 and y = 3